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Finding the Third Proportional to 113,762.50 and 248,261

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Solution

The third proportional to 113,762.50 and 248,261 is: 541,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,762.50 : 248,261 = 248,261 : x
  2. Step 2: Convert to fraction form
    113,762.50/248,261 = 248,261/x
  3. Step 3: Cross multiply
    113,762.50x = 248,261 × 248,261
  4. Step 4: Simplify right side
    113,762.50x = 61,633,524,121
  5. Step 5: Solve for x
    x = 61,633,524,121/113,762.50
  6. Step 6: Final answer
    x = 541,773.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.